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       <article class="post-3927 post type-post status-publish format-standard hentry category-math category-stochastic category-course tag-markov tag-martingale tag-15 tag-472 tag-249 tag-67" id="post-3927">
        <header class="entry-header">
         <h1 class="entry-title">
          精品课程系列：应用随机过程
         </h1>
         <div class="entry-meta">
          <span class="date">
           <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/" rel="bookmark" title="链向精品课程系列：应用随机过程的固定链接">
            <time class="entry-date" datetime="2011-06-30T16:46:09+00:00">
             2011/06/30
            </time>
           </a>
          </span>
          <span class="categories-links">
           <a href="http://cos.name/category/math/" rel="category tag">
            数学方法
           </a>
           、
           <a href="http://cos.name/category/math/stochastic/" rel="category tag">
            随机过程
           </a>
           、
           <a href="http://cos.name/category/website/course/" rel="category tag">
            高校课堂
           </a>
          </span>
          <span class="tags-links">
           <a href="http://cos.name/tag/markov/" rel="tag">
            Markov
           </a>
           、
           <a href="http://cos.name/tag/martingale/" rel="tag">
            Martingale
           </a>
           、
           <a href="http://cos.name/tag/%e4%b8%ad%e5%9b%bd%e4%ba%ba%e6%b0%91%e5%a4%a7%e5%ad%a6/" rel="tag">
            中国人民大学
           </a>
           、
           <a href="http://cos.name/tag/%e5%b8%83%e6%9c%97%e8%bf%90%e5%8a%a8/" rel="tag">
            布朗运动
           </a>
           、
           <a href="http://cos.name/tag/%e7%b2%be%e5%93%81%e8%af%be%e7%a8%8b/" rel="tag">
            精品课程
           </a>
           、
           <a href="http://cos.name/tag/%e9%9a%8f%e6%9c%ba%e8%bf%87%e7%a8%8b/" rel="tag">
            随机过程
           </a>
          </span>
          <span class="author vcard">
           <a class="url fn n" href="http://cos.name/author/jingxiao/" rel="author" title="查看所有由张景肖发布的文章">
            张景肖
           </a>
          </span>
         </div>
         <!-- .entry-meta -->
        </header>
        <!-- .entry-header -->
        <div class="entry-content">
         <h2>
          一、课程简介
         </h2>
         <p>
          主讲教师：
          <a href="http://www.jingjiluntan.com/a/jiaoxuetuandui/jiaoyanshi/2011/0219/121.html" target="_blank" title="主页">
           张波
          </a>
          、
          <a href="http://www.jingjiluntan.com/a/jiaoxuetuandui/jiaoyanshi/2011/0219/125.html" target="_blank" title="主页">
           张景肖
          </a>
          、
          <a href="http://www.jingjiluntan.com/a/jiaoxuetuandui/jiaoyanshi/2011/0215/68.html?1297946806" target="_blank" title="主页">
           肖宇谷
          </a>
         </p>
         <p>
          指定教材：张波、张景肖《应用随机过程》，清华大学出版社
         </p>
         <p>
          授课对象：中国人民大学统计学、精算专业大三学生
         </p>
         <p>
          学分学时：3学分，共48学时
         </p>
         <p>
          考核方式：闭卷考试
         </p>
         <p>
          目的要求：针对专业特点和专业要求，力求以概率论的观点来讲述随机过程的理论，逐步培养学生利用随机过程的理论和技能解决应用概率问题。培养学生运用随机过程的方法分析问题、解决问题的能力。
         </p>
         <h2>
          二、课程讲义及历年考题
         </h2>
         <p>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC1%E7%AB%A0-%E9%A2%84%E5%A4%87%E7%9F%A5%E8%AF%86.pdf" target="_blank">
           第1章 预备知识
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC2%E7%AB%A0-%E9%9A%8F%E6%9C%BA%E8%BF%87%E7%A8%8B%E7%9A%84%E5%9F%BA%E6%9C%AC%E6%A6%82%E5%BF%B5%E5%92%8C%E7%B1%BB%E5%9E%8B.pdf" target="_blank">
           第2章 随机过程的基本概念和类型
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC3%E7%AB%A0-Poisson%E8%BF%87%E7%A8%8B.pdf" target="_blank">
           第3章 Poisson过程
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC4%E7%AB%A0-%E6%9B%B4%E6%96%B0%E8%BF%87%E7%A8%8B.pdf" target="_blank">
           第4章 更新过程
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC5%E7%AB%A0-Markov%E9%93%BE.pdf" target="_blank">
           第5章 Markov链
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC6%E7%AB%A0-%E9%9E%85.pdf" target="_blank">
           第6章 鞅
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC7%E7%AB%A0-Brown%E8%BF%90%E5%8A%A8.pdf" target="_blank">
           第7章 Brown运动
          </a>
          <br/>
          <a href="http://cos.name/wp-content/uploads/2011/06/%E7%AC%AC8%E7%AB%A0-%E9%9A%8F%E6%9C%BA%E7%A7%AF%E5%88%86.pdf" target="_blank">
           第8章 随机积分
          </a>
          <br/>
          历年考题（
          <a href="http://cos.name/wp-content/uploads/2011/06/2008+%E5%BA%94%E7%94%A8%E9%9A%8F%E6%9C%BA%E8%BF%87%E7%A8%8B%E8%80%83%E9%A2%98.pdf" target="_blank">
           2008
          </a>
          、
          <a href="http://cos.name/wp-content/uploads/2011/06/%E5%BA%94%E7%94%A8%E9%9A%8F%E6%9C%BA%E8%BF%87%E7%A8%8B1.doc" target="_blank">
           2009
          </a>
          、
          <a href="http://cos.name/wp-content/uploads/2011/06/2010+%E5%BA%94%E7%94%A8%E9%9A%8F%E6%9C%BA%E8%BF%87%E7%A8%8B%E8%80%83%E9%A2%98.pdf" target="_blank">
           2010
          </a>
          ）
         </p>
         <h2>
          三、教学进度及内容
         </h2>
         <p>
          分15讲授课，每讲3个学时，第16次课程进行最终考核。内容安排如下：
         </p>
         <h4>
          第一讲 概述和泊松过程
         </h4>
         <ol>
          <li>
           随机过程的基本概念和基本类型
          </li>
          <li>
           泊松过程的两个等价定义
          </li>
         </ol>
         <h4>
          第二讲 泊松过程
         </h4>
         <ol>
          <li>
           与泊松过程相联系的若干分布
          </li>
          <li>
           泊松过程的推广：非齐次泊松过程、复合泊松过程、条件泊松过程
          </li>
         </ol>
         <h4>
          第三讲 更新过程
         </h4>
         <ol>
          <li>
           更新过程的定义
          </li>
          <li>
           更新函数
          </li>
          <li>
           更新方程
          </li>
          <li>
           更新推理
          </li>
         </ol>
         <h4>
          第四讲 更新过程
         </h4>
         <ol>
          <li>
           更新定理：初等更新定理、布莱克威尔定理、关键更新定理
          </li>
          <li>
           更新过程的推广：延迟更新定理、更新酬劳过程、交错更新过程
          </li>
         </ol>
         <h4>
          第五讲 Markov链
         </h4>
         <ol>
          <li>
           Markov链和Markov性的定义，Markov链的特征及条件
          </li>
          <li>
           Markov链转移概率矩阵
          </li>
          <li>
           Chapman–Kolmogorov方程
          </li>
          <li>
           Markov链中相通、类、周期、常返态、瞬时态、正常返、零常返等概念
          </li>
         </ol>
         <h4>
          第六讲 Markov链
         </h4>
         <ol>
          <li>
           赌徒输光模型概率转移问题
          </li>
          <li>
           极限定理
          </li>
         </ol>
         <h4>
          第七讲 Markov链
         </h4>
         <ol>
          <li>
           极限定理
          </li>
          <li>
           Markov链的不变分布
          </li>
          <li>
           分支过程：单个个体开始的群体灭绝的概率求解问题
          </li>
         </ol>
         <h4>
          第八讲 Markov链
         </h4>
         <ol>
          <li>
           人口结构变化的Markov链模型
          </li>
          <li>
           连续时间的Markov链
          </li>
          <li>
           生灭过程
          </li>
          <li>
           Kolmogorov微分方程
          </li>
         </ol>
         <h4>
          第九讲 鞅
         </h4>
         <ol>
          <li>
           条件期望的概念和基本性质
          </li>
          <li>
           上鞅、下鞅和鞅的概念
          </li>
          <li>
           停时的概念
          </li>
         </ol>
         <h4>
          第十讲 鞅
         </h4>
         <ol>
          <li>
           停时定理
          </li>
          <li>
           运用停时定理来解决赌徒模型中的问题
          </li>
          <li>
           一致可积性的含义和判别条件
          </li>
          <li>
           停时定理的应用
          </li>
         </ol>
         <h4>
          第十一讲 鞅
         </h4>
         <ol>
          <li>
           鞅收敛定理
          </li>
          <li>
           利用鞅收敛定理来解决分支过程、随机游走以及Polya模型的问题
          </li>
          <li>
           连续鞅的含义和性质
          </li>
          <li>
           鞅在Lundberg-Cramer破产模型中的应用
          </li>
         </ol>
         <h4>
          第十二讲 布朗运动
         </h4>
         <ol>
          <li>
           布朗运动和随机游走的联系
          </li>
          <li>
           布朗运动过程的定义
          </li>
          <li>
           布朗运动路径的性质
          </li>
          <li>
           布朗运动在[0, t]二次变差为t
          </li>
         </ol>
         <h4>
          第十三讲 布朗运动
         </h4>
         <ol>
          <li>
           Gauss过程
          </li>
          <li>
           布朗运动的鞅性质
          </li>
          <li>
           布朗运动过程中的击中时和布朗运动的最大值变量
          </li>
         </ol>
         <h4>
          第十四讲 布朗运动
         </h4>
         <ol>
          <li>
           布朗桥
          </li>
          <li>
           在一个值处被吸收的布朗运动
          </li>
          <li>
           在原点反射的布朗运动
          </li>
          <li>
           几何布朗运动
          </li>
          <li>
           有漂移的布朗运动
          </li>
         </ol>
         <h4>
          第十五讲 伊藤积分和期权定价公式
         </h4>
         <ol>
          <li>
           伊藤积分
          </li>
          <li>
           BS期权定价公式
          </li>
         </ol>
         <h2>
          四、推荐书目
         </h2>
         <ul>
          <li>
           Ross, Stochastic Processes, 2nd edition, Wiley
          </li>
          <li>
           Lawler, Introduction to Stochastic Process, 2nd edition, Chapman &amp; Hall/CRC.
          </li>
          <li>
           William Feller, An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition, Wiley.
          </li>
          <li>
           William Feller, An Introduction to Probability Theory and Its Applications, Vol. 2, 2nd Edition, Wiley.
          </li>
         </ul>
         <p>
          详情参见指定教材247页文献评注及参考文献。
         </p>
         <div class="wumii-hook">
          <br/>
          <br/>
         </div>
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            关于张景肖
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            中国人民大学统计学院副教授，中国科学院数学与系统科学研究院博士，研究领域
：随机分析及其在金融、保险精算中的应用，随机微分方程数值算法及其应用，风险测度理论及应用
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         《
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          精品课程系列：应用随机过程
         </span>
         》有29个想法
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              一诺
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2256">
              <time datetime="2011-07-01T20:57:32+00:00">
               2011/07/01 20:57
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             强烈支持！谢谢COS。谢谢张教授
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                张景肖
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                说道：
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               <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2288">
                <time datetime="2011-07-12T12:42:18+00:00">
                 2011/07/12 12:42
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               不谢，呵呵
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              <a aria-label="回复给张景肖" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2288#respond" onclick='return addComment.moveForm( "div-comment-2288", "2288", "respond", "3927" )' rel="nofollow">
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                 <b class="fn">
                  cjt
                 </b>
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                  说道：
                 </span>
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                 <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-7126">
                  <time datetime="2016-03-31T10:23:25+00:00">
                   2016/03/31 10:23
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                <p>
                 张老师，现在视频已经不能下载，请问能不能给我一份视频呢。万分感谢
                </p>
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             <b class="fn">
              邱怡轩
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              说道：
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              <time datetime="2011-07-01T21:42:05+00:00">
               2011/07/01 21:42
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            <p>
             很全面啊，支持支持！
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            <a aria-label="回复给邱怡轩" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2257#respond" onclick='return addComment.moveForm( "div-comment-2257", "2257", "respond", "3927" )' rel="nofollow">
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               <b class="fn">
                张景肖
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                说道：
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                 2011/07/12 12:42
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              <p>
               谢谢。
               <br/>
               有什么建议可以提出来
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              <a class="url" href="http://www.road2stat.com/" rel="external nofollow">
               Xiao Nan
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               2011/07/01 22:46
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            <p>
             随机过程70多的施主你真真的伤不起 。。。
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              jsq
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              说道：
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               2011/07/02 08:33
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            <p>
             学习统计学很不错的网站~
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              熊熹
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               2011/07/03 00:06
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             我决定再重学一遍随机过程啊
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               <b class="fn">
                张景肖
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                 2011/07/12 12:41
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               欢迎啊，下学期跟肖老师去学吧
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              苏苏
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              说道：
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               2011/07/06 21:09
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            <p>
             好资料~!非常感谢~~！
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              <a class="url" href="http://www.shamoxia.com" rel="external nofollow">
               丕子
              </a>
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              <time datetime="2011-07-09T17:46:06+00:00">
               2011/07/09 17:46
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            <p>
             COS上竟些好东西
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            <a aria-label="回复给丕子" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2279#respond" onclick='return addComment.moveForm( "div-comment-2279", "2279", "respond", "3927" )' rel="nofollow">
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             <b class="fn">
              亲爱的龙哥
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              说道：
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              <time datetime="2011-07-15T13:22:07+00:00">
               2011/07/15 13:22
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            <p>
             居然有那悲剧的考试题！！！
            </p>
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            <a aria-label="回复给亲爱的龙哥" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2298#respond" onclick='return addComment.moveForm( "div-comment-2298", "2298", "respond", "3927" )' rel="nofollow">
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             <b class="fn">
              <a class="url" href="http://yihui.name" rel="external nofollow">
               谢益辉
              </a>
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2299">
              <time datetime="2011-07-16T11:24:18+00:00">
               2011/07/16 11:24
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            <p>
             看了一下课件，这个随机过程课可能可以赶上我们的博士课了。我们这边搞随机过程和测度论的K. B. Athreya大人这一阵子好像在北师大溜达，张老师要是感兴趣可以邀请他去人大坐坐。
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             <b class="fn">
              张景肖
             </b>
             <span class="says">
              说道：
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2304">
              <time datetime="2011-07-20T07:34:03+00:00">
               2011/07/20 07:34
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            <p>
             终于找到09年考试题了，已经上传。
            </p>
           </div>
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            <a aria-label="回复给张景肖" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2304#respond" onclick='return addComment.moveForm( "div-comment-2304", "2304", "respond", "3927" )' rel="nofollow">
             回复
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             <b class="fn">
              mr tree
             </b>
             <span class="says">
              说道：
             </span>
            </div>
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            <div class="comment-metadata">
             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2439">
              <time datetime="2011-09-14T09:01:20+00:00">
               2011/09/14 09:01
              </time>
             </a>
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            <p>
             能贴一下上课的时间和地点么？有空去听听。
            </p>
            <p>
             THX
            </p>
           </div>
           <!-- .comment-content -->
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            <a aria-label="回复给mr tree" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2439#respond" onclick='return addComment.moveForm( "div-comment-2439", "2439", "respond", "3927" )' rel="nofollow">
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               <b class="fn">
                <a class="url" href="http://taiyun.cos.name" rel="external nofollow">
                 张景肖
                </a>
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                说道：
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               <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2442">
                <time datetime="2011-09-14T15:43:56+00:00">
                 2011/09/14 15:43
                </time>
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              <p>
               下面我已经贴出来啦
              </p>
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              <a aria-label="回复给张景肖" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2442#respond" onclick='return addComment.moveForm( "div-comment-2442", "2442", "respond", "3927" )' rel="nofollow">
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           <!-- #comment-## -->
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             <b class="fn">
              <a class="url" href="http://taiyun.cos.name" rel="external nofollow">
               张景肖
              </a>
             </b>
             <span class="says">
              说道：
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2440">
              <time datetime="2011-09-14T09:33:15+00:00">
               2011/09/14 09:33
              </time>
             </a>
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            <p>
             这学期是肖宇谷老师上课，时间和地点分别是周二上午8点，明法0201
            </p>
           </div>
           <!-- .comment-content -->
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            <a aria-label="回复给张景肖" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2440#respond" onclick='return addComment.moveForm( "div-comment-2440", "2440", "respond", "3927" )' rel="nofollow">
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               <b class="fn">
                mr tree
               </b>
               <span class="says">
                说道：
               </span>
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               <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2443">
                <time datetime="2011-09-15T09:09:33+00:00">
                 2011/09/15 09:09
                </time>
               </a>
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              <p>
               请问老师，不是本校的学生也可以进去听么？
              </p>
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              <a aria-label="回复给mr tree" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2443#respond" onclick='return addComment.moveForm( "div-comment-2443", "2443", "respond", "3927" )' rel="nofollow">
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                 <b class="fn">
                  张景肖
                 </b>
                 <span class="says">
                  说道：
                 </span>
                </div>
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                 <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2444">
                  <time datetime="2011-09-15T09:12:31+00:00">
                   2011/09/15 09:12
                  </time>
                 </a>
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                <p>
                 当然可以啦
                </p>
               </div>
               <!-- .comment-content -->
              </article>
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             <!-- #comment-## -->
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            <!-- .children -->
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             <b class="fn">
              鳗鱼
             </b>
             <span class="says">
              说道：
             </span>
            </div>
            <!-- .comment-author -->
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-2603">
              <time datetime="2011-11-23T10:25:45+00:00">
               2011/11/23 10:25
              </time>
             </a>
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            <p>
             谢谢张老师提供的考试题~~~
            </p>
           </div>
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            <a aria-label="回复给鳗鱼" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=2603#respond" onclick='return addComment.moveForm( "div-comment-2603", "2603", "respond", "3927" )' rel="nofollow">
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               <b class="fn">
                hjh1011
               </b>
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                说道：
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               <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-3606">
                <time datetime="2013-01-20T18:47:36+00:00">
                 2013/01/20 18:47
                </time>
               </a>
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             <div class="comment-content">
              <p>
               为什么现在考题下不下来了呢？有哪位大神之前成功下过？跪求啊～1582726163@qq.com
              </p>
             </div>
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              <a aria-label="回复给hjh1011" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=3606#respond" onclick='return addComment.moveForm( "div-comment-3606", "3606", "respond", "3927" )' rel="nofollow">
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             <b class="fn">
              开心鬼
             </b>
             <span class="says">
              说道：
             </span>
            </div>
            <!-- .comment-author -->
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-4157">
              <time datetime="2013-05-03T19:14:58+00:00">
               2013/05/03 19:14
              </time>
             </a>
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            <!-- .comment-metadata -->
           </footer>
           <!-- .comment-meta -->
           <div class="comment-content">
            <p>
             怎么看
            </p>
           </div>
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            <a aria-label="回复给开心鬼" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=4157#respond" onclick='return addComment.moveForm( "div-comment-4157", "4157", "respond", "3927" )' rel="nofollow">
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             <b class="fn">
              Ran Chen
             </b>
             <span class="says">
              说道：
             </span>
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-4161">
              <time datetime="2013-05-05T12:51:52+00:00">
               2013/05/05 12:51
              </time>
             </a>
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           <div class="comment-content">
            <p>
             现在下不下来啦
             <br/>
             求管理员更新
            </p>
           </div>
           <!-- .comment-content -->
           <div class="reply">
            <a aria-label="回复给Ran Chen" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=4161#respond" onclick='return addComment.moveForm( "div-comment-4161", "4161", "respond", "3927" )' rel="nofollow">
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             <b class="fn">
              Kay
             </b>
             <span class="says">
              说道：
             </span>
            </div>
            <!-- .comment-author -->
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-5541">
              <time datetime="2014-04-20T09:03:49+00:00">
               2014/04/20 09:03
              </time>
             </a>
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           <div class="comment-content">
            <p>
             课件现在没法下载了，404错误，麻烦管理员更新下链接，多谢
            </p>
           </div>
           <!-- .comment-content -->
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            <a aria-label="回复给Kay" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=5541#respond" onclick='return addComment.moveForm( "div-comment-5541", "5541", "respond", "3927" )' rel="nofollow">
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             <b class="fn">
              <a class="url" href="http://weibo.com/1153947613" rel="external nofollow">
               小巍爱大笑
              </a>
             </b>
             <span class="says">
              说道：
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-5735">
              <time datetime="2014-05-19T17:31:04+00:00">
               2014/05/19 17:31
              </time>
             </a>
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            <p>
             课件下载不了啊，请管理员更新课件啊，不知道哪位童鞋现在有这些课件呢？求发邮件xingxw1991@hotmail.com,谢谢谢谢
            </p>
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             <b class="fn">
              安明
             </b>
             <span class="says">
              说道：
             </span>
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-6716">
              <time datetime="2015-05-27T23:12:29+00:00">
               2015/05/27 23:12
              </time>
             </a>
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            <!-- .comment-metadata -->
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           <div class="comment-content">
            <p>
             课件下载不了啊,哪位童鞋能发给我一份这些课件呢？邮箱406071895@qq.com
            </p>
           </div>
           <!-- .comment-content -->
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            <a aria-label="回复给安明" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=6716#respond" onclick='return addComment.moveForm( "div-comment-6716", "6716", "respond", "3927" )' rel="nofollow">
             回复
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             <b class="fn">
              小谢
             </b>
             <span class="says">
              说道：
             </span>
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-6738">
              <time datetime="2015-06-08T19:54:57+00:00">
               2015/06/08 19:54
              </time>
             </a>
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            <p>
             你好，请问一下你有没有这个应用随机过程的教学视频啊？我现在急需要的，如果你有你能不能发到我邮箱1072277310@qq.com，谢谢了
            </p>
           </div>
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            <a aria-label="回复给小谢" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=6738#respond" onclick='return addComment.moveForm( "div-comment-6738", "6738", "respond", "3927" )' rel="nofollow">
             回复
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             <b class="fn">
              howu
             </b>
             <span class="says">
              说道：
             </span>
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            <!-- .comment-author -->
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             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-6823">
              <time datetime="2015-08-21T11:21:41+00:00">
               2015/08/21 11:21
              </time>
             </a>
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           <div class="comment-content">
            <p>
             各位你好，请问一下有没有这个应用随机过程的教学视频？以及教学用的PPT？如果有，能不能发到我邮箱43001497@qq.com，谢谢！
            </p>
           </div>
           <!-- .comment-content -->
           <div class="reply">
            <a aria-label="回复给howu" class="comment-reply-link" href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/?replytocom=6823#respond" onclick='return addComment.moveForm( "div-comment-6823", "6823", "respond", "3927" )' rel="nofollow">
             回复
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             <b class="fn">
              姜东华
             </b>
             <span class="says">
              说道：
             </span>
            </div>
            <!-- .comment-author -->
            <div class="comment-metadata">
             <a href="http://cos.name/2011/06/quality-courses-series-applied-stochastic-process/#comment-7079">
              <time datetime="2016-02-27T20:19:46+00:00">
               2016/02/27 20:19
              </time>
             </a>
            </div>
            <!-- .comment-metadata -->
           </footer>
           <!-- .comment-meta -->
           <div class="comment-content">
            <p>
             各位好，请问一下有没有这个应用随机过程的教学视频？以及教学用的PPT？如果有，能不能发到我邮箱853524369@qq.com，谢谢！
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